A Nonlinear Second-order Hyperbolic Diffusion Scheme for Image Noise Reduction

This article describes a novel nonlinear second-order PDE model for image filtering. The proposed denoising model is based on a second-order hyperbolic equation and provides effective detail-preserving image noise removal results. The well-posedness of this nonlinear PDE scheme is then investigated in this paper. A finite-difference based explicit numerical approximation scheme is constructed next for our continuous model. Our successfully performed denoising experiments are then described.